Euclid was a very wise man who created a lot of geometry as we know it today. Most proofs and axioms were created by him. Architecture relies mainly on geometry, and geometry's foundations are these things created by the father of geometry, or Euclid. With these proofs, theorems, and postulates, architects can build cool things like in the picture to the left. Proofs are used in architecture allot. For example, an architect may need to prove that two doors or windows are congruent or that the angles in the corners of the room are all right angles, in order to make the room a perfect quadrilateral. They also may need to use proofs to confirm that a door and windows lengths add up to the equal length or less than the length of the actual wall. In conclusion, whether they realize it or not, architects use tons of geometry in their everyday lives. Underneath are a few examples of postulates used in geometry.
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Angle addition postulateThe angle addition postulate states that the measure of any two adjacent angles, when added , will be equal to a larger angle. Architects may use this postulate when they are required to plan a design for a building with two triangular rooms which share a wall. The angles at which the edges of the walls meet in each room, when added together, will equal a larger angle. An architect may use this information to conclude where to build a wall in order for the two triangular rooms to be the same size.
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Segment Addition PostulateThe segment addition postulate states that if a point lies between to other points, then the measures of the two new existing segments will add up to the original segment. Architects may use this when planning to install windows or doors on the interiors and exteriors of the house. If an architect were to know that a wall is a certain number of feet long, and the door was to take up a certain number of feet of the wall as well, they could use the segment addition postulate to confirm how much material they should buy for the actual wall.
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Ruler PostulateThe ruler postulate states that the difference between two points is the absolute value of the distance between their two coordinates. When sketching a draft on a grid, an architect may use this postulate. To find the distance between the two ends of a wall or window, an architect may find the absolute value of the distance between their two coordinates instead of counting the units on the actual grid. Being an architect requires excellent time management. Using the ruler postulate instead of counting the spaces on a graph will definitely help with time efficiency. |
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